From classical to quantum: Navier–Stokes equations adapted for 1D quantum liquids

Although Navier–Stokes equations are the foundation of modern hydrodynamics, adapting them to quantum systems has so far been ...
Nature

Vortex Dynamics and Navier-Stokes Equations

Vortex dynamics and the Navier–Stokes equations constitute a cornerstone of fluid dynamics, offering profound insights into the behaviour of complex flows. Vortices, with their swirling motions and ...
Nature

Compressible Navier-Stokes Equations and Well-Posedness in Besov Spaces

The compressible Navier-Stokes equations remain a cornerstone in the study of fluid dynamics, encapsulating the evolution of fluids whose density variations are significant. Recent advancements have ...
Quanta Magazine

Using AI, Mathematicians Find Hidden Glitches in Fluid Equations

A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...
JSTOR Daily

EXISTENCE AND SMOOTHNESS RESULTS FOR A NEW CLASS OF 𝑛-DIMENSIONAL NAVIER-STOKES EQUATIONS

The Rocky Mountain Journal of Mathematics, Vol. 49, No. 5 (2019), pp. 1595-1615 (21 pages) W. Aggoune, H. Zahrouni and M. Potier-Ferry, High-order prediction ...